If you need help with Math homework post here.

Hi I am in 12th grade and have a great knowledge of Math. I am in the highest level math possible in my school and think that I do pretty well. So post questions here and I will answer them to the best of my ability with explanations. Please if it is beyond high school don't post this. I do have a life and can't spend my whole day solving math problems =)

Three men are travelling and get tired, so they decide to spend the night at a nearby inn. When they go to the front desk, the innkeeper charges them $30, ($10 each), and the three men go into their rooms and go to sleep. Then the innkeeper realizes that he was only supposed to charge the men $25 total, so he gives $5 to the bellboy to give to the men. But on the way to the men's rooms, the bellboy thinks to himself, "Hey, I've been so good, I deserve some money." So he keeps $2 and gives the remaining $3 to the men. Because they each get $1 back, they paid $9 instead of $10 each. But 3 x 9 = 27. But $30 - the taken $2 = $28. Where is the missing dollar?

We unravel this confusion by recognizing that there is no reason to add $2 to $27. By adding $2 to $27, the $2 is counted twice and the $3 returned to the guests is not counted at all.

What helps make this even more confusing is that it's only off by a single dollar. For some reason, a error of +/- one is more difficult to track down than a larger sum, perhaps because it's so close to the correct total.

This problem provides a means to understand how misdirection, and irrelevant facts and questions, can foil clear analysis. Additionally, the tools used to resolve this paradox are used in the analysis of a wide range of financial and scientific areas.

Three men are travelling and get tired, so they decide to spend the night at a nearby inn. When they go to the front desk, the innkeeper charges them $30, ($10 each), and the three men go into their rooms and go to sleep. Then the innkeeper realizes that he was only supposed to charge the men $25 total, so he gives $5 to the bellboy to give to the men. But on the way to the men's rooms, the bellboy thinks to himself, "Hey, I've been so good, I deserve some money." So he keeps $2 and gives the remaining $3 to the men. Because they each get $1 back, they paid $9 instead of $10 each. But 3 x 9 = 27. But $30 - the taken $2 = $28. Where is the missing dollar?

Click to expand...

That's crazy... I had to read that a couple of times to finally get it lol.

Three men are travelling and get tired, so they decide to spend the night at a nearby inn. When they go to the front desk, the innkeeper charges them $30, ($10 each), and the three men go into their rooms and go to sleep. Then the innkeeper realizes that he was only supposed to charge the men $25 total, so he gives $5 to the bellboy to give to the men. But on the way to the men's rooms, the bellboy thinks to himself, "Hey, I've been so good, I deserve some money." So he keeps $2 and gives the remaining $3 to the men. Because they each get $1 back, they paid $9 instead of $10 each. But 3 x 9 = 27. But $30 - the taken $2 = $28. Where is the missing dollar?

Originally you had a 1/3 chance at winning and a 2/3 chance of picking the losing door. Which means there was a greater chance that you picked the loser from the get go. The host eliminated one of the doors as a winner, so that means you basically flipped the odds, the host in a way gave you two winning doors.

We unravel this confusion by recognizing that there is no reason to add $2 to $27. By adding $2 to $27, the $2 is counted twice and the $3 returned to the guests is not counted at all.

What helps make this even more confusing is that it's only off by a single dollar. For some reason, a error of +/- one is more difficult to track down than a larger sum, perhaps because it's so close to the correct total.

This problem provides a means to understand how misdirection, and irrelevant facts and questions, can foil clear analysis. Additionally, the tools used to resolve this paradox are used in the analysis of a wide range of financial and scientific areas.

Click to expand...

That is so hot. So hot for real. I LOVE it! ~(* *)~ Especially that last paragraph.......I love a mind!

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